3764272512 has 384 divisors, whose sum is σ = 13674528000. Its totient is φ = 901877760.

The previous prime is 3764272493. The next prime is 3764272531. The reversal of 3764272512 is 2152724673.

It is an interprime number because it is at equal distance from previous prime (3764272493) and next prime (3764272531).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 2689989 + ... + 2691387.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^3764272512 is an apocalyptic number.

3764272512 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 3764272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837264000).

3764272512 is an abundant number, since it is smaller than the sum of its proper divisors (9910255488).

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

3764272512 is a wasteful number, since it uses less digits than its factorization.

3764272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1435 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 3764272512 is about 61353.6674698424. The cubic root of 3764272512 is about 1555.5847804880.

The spelling of 3764272512 in words is "three billion, seven hundred sixty-four million, two hundred seventy-two thousand, five hundred twelve".