3804877440 has 1152 divisors, whose sum is σ = 17713397520. Its totient is φ = 743178240.

The previous prime is 3804877429. The next prime is 3804877487. The reversal of 3804877440 is 447784083.

It can be written as a sum of positive squares in 8 ways, for example, as 484352064 + 3320525376 = 22008^2 + 57624^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62375010 + ... + 62375070.

Almost surely, 2^3804877440 is an apocalyptic number.

3804877440 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 3804877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856698760).

3804877440 is an abundant number, since it is smaller than the sum of its proper divisors (13908520080).

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

3804877440 is a wasteful number, since it uses less digits than its factorization.

3804877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3804877440 is about 61683.6886056598. The cubic root of 3804877440 is about 1561.1581143841.

The spelling of 3804877440 in words is "three billion, eight hundred four million, eight hundred seventy-seven thousand, four hundred forty".