3704413440 has 288 divisors, whose sum is σ = 14562567936. Its totient is φ = 781516800.

The previous prime is 3704413439. The next prime is 3704413463. The reversal of 3704413440 is 443144073.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3704413398 and 3704413407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344140 + ... + 354740.

It is an arithmetic number, because the mean of its divisors is an integer number (50564472).

Almost surely, 2^3704413440 is an apocalyptic number.

3704413440 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 3704413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281283968).

3704413440 is an abundant number, since it is smaller than the sum of its proper divisors (10858154496).

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

3704413440 is a wasteful number, since it uses less digits than its factorization.

3704413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3704413440 is about 60863.8927443850. The cubic root of 3704413440 is about 1547.2951006808.

The spelling of 3704413440 in words is "three billion, seven hundred four million, four hundred thirteen thousand, four hundred forty".