3779948160 has 512 divisors, whose sum is σ = 14614560000. Its totient is φ = 919683072.

The previous prime is 3779948149. The next prime is 3779948201. The reversal of 3779948160 is 618499773.

It is a happy number.

3779948160 is a `hidden beast` number, since 3 + 77 + 99 + 481 + 6 + 0 = 666.

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 = 3779948097 and 3779948106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9521082 + ... + 9521478.

Almost surely, 2^3779948160 is an apocalyptic number.

3779948160 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 3779948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307280000).

3779948160 is an abundant number, since it is smaller than the sum of its proper divisors (10834611840).

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

3779948160 is a wasteful number, since it uses less digits than its factorization.

3779948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3779948160 is about 61481.2830054806. The cubic root of 3779948160 is about 1557.7411093880.

The spelling of 3779948160 in words is "three billion, seven hundred seventy-nine million, nine hundred forty-eight thousand, one hundred sixty".