3694056273600 has 2688 divisors, whose sum is σ = 16719387033600. Its totient is φ = 690923520000.

The previous prime is 3694056273559. The next prime is 3694056273617. The reversal of 3694056273600 is 63726504963.

It is a happy number.

3694056273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15456302281 + ... + 15456302519.

Almost surely, 2^{3694056273600} is an apocalyptic number.

3694056273600 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 3694056273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359693516800).

3694056273600 is an abundant number, since it is smaller than the sum of its proper divisors (13025330760000).

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

3694056273600 is a wasteful number, since it uses less digits than its factorization.

3694056273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 3694056273600 in words is "three trillion, six hundred ninety-four billion, fifty-six million, two hundred seventy-three thousand, six hundred".