3699054696960 has 480 divisors, whose sum is σ = 15145871495040. Its totient is φ = 816342073344.

The previous prime is 3699054696929. The next prime is 3699054696977. The reversal of 3699054696960 is 696964509963.

3699054696960 is a `hidden beast` number, since 369 + 90 + 5 + 4 + 6 + 96 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3699054696960² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4281679 + ... + 5072561.

It is an arithmetic number, because the mean of its divisors is an integer number (31553898948).

Almost surely, 2^{3699054696960} is an apocalyptic number.

3699054696960 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 3699054696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572935747520).

3699054696960 is an abundant number, since it is smaller than the sum of its proper divisors (11446816798080).

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

3699054696960 is a wasteful number, since it uses less digits than its factorization.

3699054696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790948 (or 790929 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 3699054696960 in words is "three trillion, six hundred ninety-nine billion, fifty-four million, six hundred ninety-six thousand, nine hundred sixty".