3678849360 has 160 divisors (see below), whose sum is σ = 13080591360. Its totient is φ = 949363200.

The previous prime is 3678849359. The next prime is 3678849371. The reversal of 3678849360 is 639488763.

It is a super-2 number, since 2×3678849360² = 27067865227144819200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3678849297 and 3678849306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39490 + ... + 94430.

It is an arithmetic number, because the mean of its divisors is an integer number (81753696).

Almost surely, 2^3678849360 is an apocalyptic number.

3678849360 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 3678849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540295680).

3678849360 is an abundant number, since it is smaller than the sum of its proper divisors (9401742000).

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

3678849360 is a wasteful number, since it uses less digits than its factorization.

3678849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54994 (or 54982 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3678849360 is about 60653.5189416080. The cubic root of 3678849360 is about 1543.7275978763.

The spelling of 3678849360 in words is "three billion, six hundred seventy-eight million, eight hundred forty-nine thousand, three hundred sixty".