3702253350096 has 640 divisors, whose sum is σ = 12784153190400. Its totient is φ = 1003476418560.

The previous prime is 3702253350071. The next prime is 3702253350179. The reversal of 3702253350096 is 6900533522073.

3702253350096 is a `hidden beast` number, since 3 + 7 + 0 + 2 + 2 + 53 + 3 + 500 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3766279621 + ... + 3766280603.

It is an arithmetic number, because the mean of its divisors is an integer number (19975239360).

Almost surely, 2^{3702253350096} is an apocalyptic number.

3702253350096 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 3702253350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392076595200).

3702253350096 is an abundant number, since it is smaller than the sum of its proper divisors (9081899840304).

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

3702253350096 is a wasteful number, since it uses less digits than its factorization.

3702253350096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3702253350096 in words is "three trillion, seven hundred two billion, two hundred fifty-three million, three hundred fifty thousand, ninety-six".