3732952362720 has 768 divisors, whose sum is σ = 14397220454400. Its totient is φ = 811124041728.

The previous prime is 3732952362719. The next prime is 3732952362721. The reversal of 3732952362720 is 272632592373.

It is an interprime number because it is at equal distance from previous prime (3732952362719) and next prime (3732952362721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3732952362721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632379289 + ... + 632385191.

It is an arithmetic number, because the mean of its divisors is an integer number (18746380800).

Almost surely, 2^{3732952362720} is an apocalyptic number.

3732952362720 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 3732952362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198610227200).

3732952362720 is an abundant number, since it is smaller than the sum of its proper divisors (10664268091680).

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

3732952362720 is a wasteful number, since it uses less digits than its factorization.

3732952362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 51.

The spelling of 3732952362720 in words is "three trillion, seven hundred thirty-two billion, nine hundred fifty-two million, three hundred sixty-two thousand, seven hundred twenty".