3745558652928 has 384 divisors, whose sum is σ = 10882143417600. Its totient is φ = 1140870610944.

The previous prime is 3745558652923. The next prime is 3745558652933. The reversal of 3745558652928 is 8292568555473.

It is an interprime number because it is at equal distance from previous prime (3745558652923) and next prime (3745558652933).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3745558652921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739983701 + ... + 2739985067.

It is an arithmetic number, because the mean of its divisors is an integer number (28338915150).

Almost surely, 2^{3745558652928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745558652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441071708800).

3745558652928 is an abundant number, since it is smaller than the sum of its proper divisors (7136584764672).

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

3745558652928 is a wasteful number, since it uses less digits than its factorization.

3745558652928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2135 counting only the distinct ones).

The product of its digits is 725760000, while the sum is 69.

The spelling of 3745558652928 in words is "three trillion, seven hundred forty-five billion, five hundred fifty-eight million, six hundred fifty-two thousand, nine hundred twenty-eight".