3706190880 has 192 divisors, whose sum is σ = 13367773440. Its totient is φ = 845512704.

The previous prime is 3706190879. The next prime is 3706190899. The reversal of 3706190880 is 880916073.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3282156 + ... + 3283284.

It is an arithmetic number, because the mean of its divisors is an integer number (69623820).

Almost surely, 2^3706190880 is an apocalyptic number.

3706190880 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 3706190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683886720).

3706190880 is an abundant number, since it is smaller than the sum of its proper divisors (9661582560).

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

3706190880 is a wasteful number, since it uses less digits than its factorization.

3706190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 3706190880 is about 60878.4927540096. The cubic root of 3706190880 is about 1547.5425338662.

The spelling of 3706190880 in words is "three billion, seven hundred six million, one hundred ninety thousand, eight hundred eighty".