3912733440 has 648 divisors, whose sum is σ = 17048382624. Its totient is φ = 811008000.

The previous prime is 3912733439. The next prime is 3912733453. The reversal of 3912733440 is 443372193.

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 = 3912733395 and 3912733404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9757240 + ... + 9757640.

Almost surely, 2^3912733440 is an apocalyptic number.

3912733440 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 3912733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524191312).

3912733440 is an abundant number, since it is smaller than the sum of its proper divisors (13135649184).

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

3912733440 is a wasteful number, since it uses less digits than its factorization.

3912733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 429 counting only the distinct ones).

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

The square root of 3912733440 is about 62551.8460159251. The cubic root of 3912733440 is about 1575.7721504886.

The spelling of 3912733440 in words is "three billion, nine hundred twelve million, seven hundred thirty-three thousand, four hundred forty".