3629701974912 has 1024 divisors, whose sum is σ = 11824169011200. Its totient is φ = 975389589504.

The previous prime is 3629701974859. The next prime is 3629701974961. The reversal of 3629701974912 is 2194791079263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15578119948 + ... + 15578120180.

It is an arithmetic number, because the mean of its divisors is an integer number (11547040050).

Almost surely, 2^{3629701974912} is an apocalyptic number.

3629701974912 is a gapful number since it is divisible by the number (32) 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 3629701974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912084505600).

3629701974912 is an abundant number, since it is smaller than the sum of its proper divisors (8194467036288).

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

3629701974912 is a wasteful number, since it uses less digits than its factorization.

3629701974912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 3629701974912 in words is "three trillion, six hundred twenty-nine billion, seven hundred one million, nine hundred seventy-four thousand, nine hundred twelve".