3974388480 has 324 divisors, whose sum is σ = 14248437840. Its totient is φ = 1022791680.

The previous prime is 3974388463. The next prime is 3974388487. The reversal of 3974388480 is 848834793.

It is not an unprimeable number, because it can be changed into a prime (3974388487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11070541 + ... + 11070899.

It is an arithmetic number, because the mean of its divisors is an integer number (43976660).

Almost surely, 2^3974388480 is an apocalyptic number.

3974388480 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 3974388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124218920).

3974388480 is an abundant number, since it is smaller than the sum of its proper divisors (10274049360).

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

3974388480 is a wasteful number, since it uses less digits than its factorization.

3974388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3974388480 is about 63042.7512090010. The cubic root of 3974388480 is about 1584.0058157117.

The spelling of 3974388480 in words is "three billion, nine hundred seventy-four million, three hundred eighty-eight thousand, four hundred eighty".