3491993760192 has 168 divisors, whose sum is σ = 11440856297312. Its totient is φ = 997555046400.

The previous prime is 3491993760181. The next prime is 3491993760209. The reversal of 3491993760192 is 2910673991943.

3491993760192 is a `hidden beast` number, since 3 + 4 + 9 + 19 + 9 + 3 + 7 + 601 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26792142 + ... + 26922162.

Almost surely, 2^{3491993760192} is an apocalyptic number.

3491993760192 is a gapful number since it is divisible by the number (32) 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 3491993760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720428148656).

3491993760192 is an abundant number, since it is smaller than the sum of its proper divisors (7948862537120).

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

3491993760192 is a wasteful number, since it uses less digits than its factorization.

3491993760192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136707 (or 136694 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 3491993760192 in words is "three trillion, four hundred ninety-one billion, nine hundred ninety-three million, seven hundred sixty thousand, one hundred ninety-two".