3735114240 has 640 divisors, whose sum is σ = 14849049600. Its totient is φ = 787415040.

The previous prime is 3735114197. The next prime is 3735114281. The reversal of 3735114240 is 424115373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3735114198 and 3735114207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20866471 + ... + 20866649.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^3735114240 is an apocalyptic number.

3735114240 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 3735114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

3735114240 is an abundant number, since it is smaller than the sum of its proper divisors (11113935360).

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

3735114240 is a wasteful number, since it uses less digits than its factorization.

3735114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3735114240 is about 61115.5809920842. The cubic root of 3735114240 is about 1551.5578150062.

The spelling of 3735114240 in words is "three billion, seven hundred thirty-five million, one hundred fourteen thousand, two hundred forty".