3729639686400 has 1080 divisors, whose sum is σ = 14579037506880. Its totient is φ = 938136453120.

The previous prime is 3729639686371. The next prime is 3729639686431. The reversal of 3729639686400 is 46869369273.

3729639686400 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 63 + 96 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2728338517 + ... + 2728339883.

Almost surely, 2^{3729639686400} is an apocalyptic number.

3729639686400 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 3729639686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289518753440).

3729639686400 is an abundant number, since it is smaller than the sum of its proper divisors (10849397820480).

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

3729639686400 is a wasteful number, since it uses less digits than its factorization.

3729639686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3729639686400 in words is "three trillion, seven hundred twenty-nine billion, six hundred thirty-nine million, six hundred eighty-six thousand, four hundred".