3769879680 has 864 divisors, whose sum is σ = 16414142940. Its totient is φ = 794271744.

The previous prime is 3769879669. The next prime is 3769879723. The reversal of 3769879680 is 869789673.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3678179904 + 91699776 = 60648^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 107 ways as a sum of consecutive naturals, for example, 101888622 + ... + 101888658.

Almost surely, 2^3769879680 is an apocalyptic number.

3769879680 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 3769879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207071470).

3769879680 is an abundant number, since it is smaller than the sum of its proper divisors (12644263260).

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

3769879680 is a wasteful number, since it uses less digits than its factorization.

3769879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 3769879680 is about 61399.3459248549. The cubic root of 3769879680 is about 1556.3567842728.

The spelling of 3769879680 in words is "three billion, seven hundred sixty-nine million, eight hundred seventy-nine thousand, six hundred eighty".