3723913440 has 720 divisors, whose sum is σ = 15260392224. Its totient is φ = 848517120.

The previous prime is 3723913429. The next prime is 3723913481. The reversal of 3723913440 is 443193273.

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

It is a super-2 number, since 2×3723913440² = 27735062617225267200, which contains 22 as substring.

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 = 3723913395 and 3723913404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120126225 + ... + 120126255.

Almost surely, 2^3723913440 is an apocalyptic number.

3723913440 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 3723913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630196112).

3723913440 is an abundant number, since it is smaller than the sum of its proper divisors (11536478784).

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

3723913440 is a wasteful number, since it uses less digits than its factorization.

3723913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

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

The square root of 3723913440 is about 61023.8759830937. The cubic root of 3723913440 is about 1550.0053333150.

The spelling of 3723913440 in words is "three billion, seven hundred twenty-three million, nine hundred thirteen thousand, four hundred forty".