3642746880 has 288 divisors, whose sum is σ = 12424557600. Its totient is φ = 908623872.

The previous prime is 3642746879. The next prime is 3642746929. The reversal of 3642746880 is 886472463.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46110681 + ... + 46110759.

It is an arithmetic number, because the mean of its divisors is an integer number (43140825).

Almost surely, 2^3642746880 is an apocalyptic number.

3642746880 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 3642746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212278800).

3642746880 is an abundant number, since it is smaller than the sum of its proper divisors (8781810720).

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

3642746880 is an equidigital number, since it uses as much as digits as its factorization.

3642746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 3642746880 is about 60355.1727692002. The cubic root of 3642746880 is about 1538.6611853316.

The spelling of 3642746880 in words is "three billion, six hundred forty-two million, seven hundred forty-six thousand, eight hundred eighty".