3776072640 has 224 divisors, whose sum is σ = 12747979584. Its totient is φ = 943718400.

The previous prime is 3776072627. The next prime is 3776072647. The reversal of 3776072640 is 462706773.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3776072592 and 3776072601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776072647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6544032 + ... + 6544608.

Almost surely, 2^3776072640 is an apocalyptic number.

3776072640 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 3776072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373989792).

3776072640 is an abundant number, since it is smaller than the sum of its proper divisors (8971906944).

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

3776072640 is a wasteful number, since it uses less digits than its factorization.

3776072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 3776072640 is about 61449.7570377622. The cubic root of 3776072640 is about 1557.2085517111.

The spelling of 3776072640 in words is "three billion, seven hundred seventy-six million, seventy-two thousand, six hundred forty".