3785342976 has 240 divisors, whose sum is σ = 11533984000. Its totient is φ = 1226244096.

The previous prime is 3785342941. The next prime is 3785342987. The reversal of 3785342976 is 6792435873.

3785342976 is a `hidden beast` number, since 37 + 8 + 534 + 2 + 9 + 76 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19021725 + ... + 19021923.

Almost surely, 2^3785342976 is an apocalyptic number.

3785342976 is a gapful number since it is divisible by the number (36) 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 3785342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766992000).

3785342976 is an abundant number, since it is smaller than the sum of its proper divisors (7748641024).

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

3785342976 is an equidigital number, since it uses as much as digits as its factorization.

3785342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3785342976 is about 61525.1410075589. The cubic root of 3785342976 is about 1558.4818366400.

The spelling of 3785342976 in words is "three billion, seven hundred eighty-five million, three hundred forty-two thousand, nine hundred seventy-six".