3753008007504 has 160 divisors (see below), whose sum is σ = 11734683217920. Its totient is φ = 1008989362176.

The previous prime is 3753008007499. The next prime is 3753008007509. The reversal of 3753008007504 is 4057008003573.

It is an interprime number because it is at equal distance from previous prime (3753008007499) and next prime (3753008007509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753008007509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26656237 + ... + 26796659.

It is an arithmetic number, because the mean of its divisors is an integer number (73341770112).

Almost surely, 2^{3753008007504} is an apocalyptic number.

3753008007504 is a gapful number since it is divisible by the number (34) 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 3753008007504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867341608960).

3753008007504 is an abundant number, since it is smaller than the sum of its proper divisors (7981675210416).

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

3753008007504 is a wasteful number, since it uses less digits than its factorization.

3753008007504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145137 (or 145131 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 3753008007504 in words is "three trillion, seven hundred fifty-three billion, eight million, seven thousand, five hundred four".