3913440480 has 240 divisors, whose sum is σ = 14009000544. Its totient is φ = 1028643840.

The previous prime is 3913440463. The next prime is 3913440493. The reversal of 3913440480 is 840443193.

3913440480 is a `hidden beast` number, since 3 + 9 + 134 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 918034 + ... + 922286.

Almost surely, 2^3913440480 is an apocalyptic number.

3913440480 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 3913440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004500272).

3913440480 is an abundant number, since it is smaller than the sum of its proper divisors (10095560064).

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

3913440480 is a wasteful number, since it uses less digits than its factorization.

3913440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3913440480 is about 62557.4973923989. The cubic root of 3913440480 is about 1575.8670599985.

The spelling of 3913440480 in words is "three billion, nine hundred thirteen million, four hundred forty thousand, four hundred eighty".