3745146240 has 1024 divisors, whose sum is σ = 16391808000. Its totient is φ = 796262400.

The previous prime is 3745146233. The next prime is 3745146247. The reversal of 3745146240 is 426415473.

3745146240 is a `hidden beast` number, since 374 + 5 + 1 + 46 + 240 = 666.

3745146240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3745146233) and next prime (3745146247).

It is a super-2 number, since 2×3745146240² = 28052240717972275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3745146195 and 3745146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745146247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61395810 + ... + 61395870.

It is an arithmetic number, because the mean of its divisors is an integer number (16007625).

Almost surely, 2^3745146240 is an apocalyptic number.

3745146240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904000).

3745146240 is an abundant number, since it is smaller than the sum of its proper divisors (12646661760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3745146240 is a wasteful number, since it uses less digits than its factorization.

3745146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3745146240 is about 61197.5999529393. The cubic root of 3745146240 is about 1552.9456630886.

The spelling of 3745146240 in words is "three billion, seven hundred forty-five million, one hundred forty-six thousand, two hundred forty".