3629401374720 has 576 divisors, whose sum is σ = 12736072952064. Its totient is φ = 875267358720.

The previous prime is 3629401374667. The next prime is 3629401374749. The reversal of 3629401374720 is 274731049263.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3629401374720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6120406744 + ... + 6120407336.

It is an arithmetic number, because the mean of its divisors is an integer number (22111237764).

Almost surely, 2^{3629401374720} is an apocalyptic number.

3629401374720 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 3629401374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368036476032).

3629401374720 is an abundant number, since it is smaller than the sum of its proper divisors (9106671577344).

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

3629401374720 is an equidigital number, since it uses as much as digits as its factorization.

3629401374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 3629401374720 in words is "three trillion, six hundred twenty-nine billion, four hundred one million, three hundred seventy-four thousand, seven hundred twenty".