3693051048960 has 1408 divisors, whose sum is σ = 17004419174400. Its totient is φ = 738135244800.

The previous prime is 3693051048923. The next prime is 3693051049049. The reversal of 3693051048960 is 698401503963.

3693051048960 is a `hidden beast` number, since 3 + 6 + 9 + 30 + 510 + 4 + 8 + 96 + 0 = 666.

It is a super-5 number, since 5×3693051048960⁵ (a number of 64 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3693051048897 and 3693051048906.

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, 239009235 + ... + 239024685.

Almost surely, 2^{3693051048960} is an apocalyptic number.

3693051048960 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 3693051048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502209587200).

3693051048960 is an abundant number, since it is smaller than the sum of its proper divisors (13311368125440).

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

3693051048960 is a wasteful number, since it uses less digits than its factorization.

3693051048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15524 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3693051048960 in words is "three trillion, six hundred ninety-three billion, fifty-one million, forty-eight thousand, nine hundred sixty".