3782876160 has 352 divisors, whose sum is σ = 13979077632. Its totient is φ = 855244800.

The previous prime is 3782876099. The next prime is 3782876173. The reversal of 3782876160 is 616782873.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16235404 + ... + 16235636.

Almost surely, 2^3782876160 is an apocalyptic number.

3782876160 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 3782876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989538816).

3782876160 is an abundant number, since it is smaller than the sum of its proper divisors (10196201472).

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

3782876160 is a wasteful number, since it uses less digits than its factorization.

3782876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3782876160 is about 61505.0905210292. The cubic root of 3782876160 is about 1558.1432214976.

The spelling of 3782876160 in words is "three billion, seven hundred eighty-two million, eight hundred seventy-six thousand, one hundred sixty".