3724807680 has 800 divisors, whose sum is σ = 15400585728. Its totient is φ = 851558400.

The previous prime is 3724807673. The next prime is 3724807693. The reversal of 3724807680 is 867084273.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52462045 + ... + 52462115.

Almost surely, 2^3724807680 is an apocalyptic number.

3724807680 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 3724807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700292864).

3724807680 is an abundant number, since it is smaller than the sum of its proper divisors (11675778048).

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

3724807680 is a wasteful number, since it uses less digits than its factorization.

3724807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3724807680 is about 61031.2025115023. The cubic root of 3724807680 is about 1550.1293932910.

The spelling of 3724807680 in words is "three billion, seven hundred twenty-four million, eight hundred seven thousand, six hundred eighty".