3662710272 has 320 divisors, whose sum is σ = 11858616000. Its totient is φ = 1109458944.

The previous prime is 3662710243. The next prime is 3662710297. The reversal of 3662710272 is 2720172663.

It is a happy number.

3662710272 is a `hidden beast` number, since 3 + 6 + 627 + 1 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×3662710272² = 26830893073228627968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15994254 + ... + 15994482.

It is an arithmetic number, because the mean of its divisors is an integer number (37058175).

Almost surely, 2^3662710272 is an apocalyptic number.

3662710272 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 3662710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929308000).

3662710272 is an abundant number, since it is smaller than the sum of its proper divisors (8195905728).

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

3662710272 is a wasteful number, since it uses less digits than its factorization.

3662710272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3662710272 is about 60520.3294108682. The cubic root of 3662710272 is about 1541.4668477338.

The spelling of 3662710272 in words is "three billion, six hundred sixty-two million, seven hundred ten thousand, two hundred seventy-two".