3779758080 has 864 divisors, whose sum is σ = 16312907520. Its totient is φ = 836075520.

The previous prime is 3779758069. The next prime is 3779758091. The reversal of 3779758080 is 808579773.

It is an interprime number because it is at equal distance from previous prime (3779758069) and next prime (3779758091).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3779758080² = 28573142286650572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121927665 + ... + 121927695.

It is an arithmetic number, because the mean of its divisors is an integer number (18880680).

Almost surely, 2^3779758080 is an apocalyptic number.

3779758080 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 3779758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

3779758080 is an abundant number, since it is smaller than the sum of its proper divisors (12533149440).

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

3779758080 is an equidigital number, since it uses as much as digits as its factorization.

3779758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 3779758080 is about 61479.7371497309. The cubic root of 3779758080 is about 1557.7149978841.

The spelling of 3779758080 in words is "three billion, seven hundred seventy-nine million, seven hundred fifty-eight thousand, eighty".