3917466720 has 384 divisors, whose sum is σ = 14500684800. Its totient is φ = 985780224.

The previous prime is 3917466703. The next prime is 3917466737. The reversal of 3917466720 is 276647193.

It is an interprime number because it is at equal distance from previous prime (3917466703) and next prime (3917466737).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8842819 + ... + 8843261.

It is an arithmetic number, because the mean of its divisors is an integer number (37762200).

Almost surely, 2^3917466720 is an apocalyptic number.

3917466720 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 3917466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250342400).

3917466720 is an abundant number, since it is smaller than the sum of its proper divisors (10583218080).

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

3917466720 is a wasteful number, since it uses less digits than its factorization.

3917466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3917466720 is about 62589.6694351392. The cubic root of 3917466720 is about 1576.4073045196.

The spelling of 3917466720 in words is "three billion, nine hundred seventeen million, four hundred sixty-six thousand, seven hundred twenty".