3776801280 has 320 divisors, whose sum is σ = 13915680768. Its totient is φ = 855982080.

The previous prime is 3776801261. The next prime is 3776801293. The reversal of 3776801280 is 821086773.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8762665 + ... + 8763095.

Almost surely, 2^3776801280 is an apocalyptic number.

3776801280 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 3776801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957840384).

3776801280 is an abundant number, since it is smaller than the sum of its proper divisors (10138879488).

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

3776801280 is a wasteful number, since it uses less digits than its factorization.

3776801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 3776801280 is about 61455.6854977633. The cubic root of 3776801280 is about 1557.3087061638.

The spelling of 3776801280 in words is "three billion, seven hundred seventy-six million, eight hundred one thousand, two hundred eighty".