3800577792 has 72 divisors (see below), whose sum is σ = 11034656640. Its totient is φ = 1151687680.

The previous prime is 3800577791. The next prime is 3800577793. The reversal of 3800577792 is 2977750083.

It is an interprime number because it is at equal distance from previous prime (3800577791) and next prime (3800577793).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800577791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216492 + ... + 233387.

It is an arithmetic number, because the mean of its divisors is an integer number (153259120).

Almost surely, 2^3800577792 is an apocalyptic number.

3800577792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3800577792 is an abundant number, since it is smaller than the sum of its proper divisors (7234078848).

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

3800577792 is a wasteful number, since it uses less digits than its factorization.

3800577792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449909 (or 449895 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 3800577792 is about 61648.8263635246. The cubic root of 3800577792 is about 1560.5698378463.

The spelling of 3800577792 in words is "three billion, eight hundred million, five hundred seventy-seven thousand, seven hundred ninety-two".