3693474399456 has 480 divisors, whose sum is σ = 11646640893888. Its totient is φ = 1144169349120.

The previous prime is 3693474399437. The next prime is 3693474399463. The reversal of 3693474399456 is 6549934743963.

It is a happy number.

3693474399456 is a `hidden beast` number, since 3 + 6 + 9 + 3 + 47 + 43 + 99 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1910746266 + ... + 1910748198.

Almost surely, 2^{3693474399456} is an apocalyptic number.

3693474399456 is a gapful number since it is divisible by the number (36) 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 3693474399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823320446944).

3693474399456 is an abundant number, since it is smaller than the sum of its proper divisors (7953166494432).

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

3693474399456 is a wasteful number, since it uses less digits than its factorization.

3693474399456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2479 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 72.

The spelling of 3693474399456 in words is "three trillion, six hundred ninety-three billion, four hundred seventy-four million, three hundred ninety-nine thousand, four hundred fifty-six".