3676119552 has 480 divisors, whose sum is σ = 13005685440. Its totient is φ = 1034643456.

The previous prime is 3676119533. The next prime is 3676119589. The reversal of 3676119552 is 2559116763.

3676119552 is a `hidden beast` number, since 36 + 7 + 61 + 1 + 9 + 552 = 666.

Its product of digits (340200) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 3676119498 and 3676119507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54867423 + ... + 54867489.

It is an arithmetic number, because the mean of its divisors is an integer number (27095178).

Almost surely, 2^3676119552 is an apocalyptic number.

3676119552 is a gapful number since it is divisible by the number (32) 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 3676119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502842720).

3676119552 is an abundant number, since it is smaller than the sum of its proper divisors (9329565888).

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

3676119552 is an frugal number, since it uses more digits than its factorization.

3676119552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 3676119552 is about 60631.0114710286. The cubic root of 3676119552 is about 1543.3456738664.

The spelling of 3676119552 in words is "three billion, six hundred seventy-six million, one hundred nineteen thousand, five hundred fifty-two".