3917384640 has 224 divisors, whose sum is σ = 14883140160. Its totient is φ = 964251648.

The previous prime is 3917384617. The next prime is 3917384651. The reversal of 3917384640 is 464837193.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94882 + ... + 129758.

It is an arithmetic number, because the mean of its divisors is an integer number (66442590).

Almost surely, 2^3917384640 is an apocalyptic number.

3917384640 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 3917384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441570080).

3917384640 is an abundant number, since it is smaller than the sum of its proper divisors (10965755520).

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

3917384640 is a wasteful number, since it uses less digits than its factorization.

3917384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34916 (or 34900 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3917384640 is about 62589.0137324435. The cubic root of 3917384640 is about 1576.3962946481.

The spelling of 3917384640 in words is "three billion, nine hundred seventeen million, three hundred eighty-four thousand, six hundred forty".