3654257880 has 256 divisors, whose sum is σ = 13582033920. Its totient is φ = 765904896.

The previous prime is 3654257879. The next prime is 3654257903. The reversal of 3654257880 is 887524563.

It is a congruent number.

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, 1778934 + ... + 1780986.

It is an arithmetic number, because the mean of its divisors is an integer number (53054820).

Almost surely, 2^3654257880 is an apocalyptic number.

3654257880 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 3654257880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791016960).

3654257880 is an abundant number, since it is smaller than the sum of its proper divisors (9927776040).

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

3654257880 is a wasteful number, since it uses less digits than its factorization.

3654257880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 3654257880 is about 60450.4580627806. The cubic root of 3654257880 is about 1540.2801930160.

The spelling of 3654257880 in words is "three billion, six hundred fifty-four million, two hundred fifty-seven thousand, eight hundred eighty".