3721339440 has 720 divisors, whose sum is σ = 16439537088. Its totient is φ = 736100352.

The previous prime is 3721339439. The next prime is 3721339451. The reversal of 3721339440 is 449331273.

3721339440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3721339395 and 3721339404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14479792 + ... + 14480048.

Almost surely, 2^3721339440 is an apocalyptic number.

3721339440 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 3721339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219768544).

3721339440 is an abundant number, since it is smaller than the sum of its proper divisors (12718197648).

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

3721339440 is a wasteful number, since it uses less digits than its factorization.

3721339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3721339440 is about 61002.7822316327. The cubic root of 3721339440 is about 1549.6481254666.

The spelling of 3721339440 in words is "three billion, seven hundred twenty-one million, three hundred thirty-nine thousand, four hundred forty".