3745674240 has 352 divisors, whose sum is σ = 14941200384. Its totient is φ = 778076160.

The previous prime is 3745674239. The next prime is 3745674271. The reversal of 3745674240 is 424765473.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3745674192 and 3745674201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181137 + ... + 1184303.

It is an arithmetic number, because the mean of its divisors is an integer number (42446592).

Almost surely, 2^3745674240 is an apocalyptic number.

3745674240 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 3745674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470600192).

3745674240 is an abundant number, since it is smaller than the sum of its proper divisors (11195526144).

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

3745674240 is a wasteful number, since it uses less digits than its factorization.

3745674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 3745674240 is about 61201.9136955700. The cubic root of 3745674240 is about 1553.0186390356.

The spelling of 3745674240 in words is "three billion, seven hundred forty-five million, six hundred seventy-four thousand, two hundred forty".