3802772160 has 672 divisors, whose sum is σ = 15816632832. Its totient is φ = 827228160.

The previous prime is 3802772107. The next prime is 3802772167. The reversal of 3802772160 is 612772083.

3802772160 is a `hidden beast` number, since 380 + 277 + 2 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×3802772160² = 28922152201742131200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3802772167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12386727 + ... + 12387033.

It is an arithmetic number, because the mean of its divisors is an integer number (23536656).

Almost surely, 2^3802772160 is an apocalyptic number.

3802772160 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 3802772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908316416).

3802772160 is an abundant number, since it is smaller than the sum of its proper divisors (12013860672).

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

3802772160 is a wasteful number, since it uses less digits than its factorization.

3802772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3802772160 is about 61666.6211171003. The cubic root of 3802772160 is about 1560.8701260167.

The spelling of 3802772160 in words is "three billion, eight hundred two million, seven hundred seventy-two thousand, one hundred sixty".