3922524480 has 336 divisors, whose sum is σ = 14735592576. Its totient is φ = 881233920.

The previous prime is 3922524439. The next prime is 3922524481. The reversal of 3922524480 is 844252293.

3922524480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922524481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2868757 + ... + 2870123.

Almost surely, 2^3922524480 is an apocalyptic number.

3922524480 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 3922524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367796288).

3922524480 is an abundant number, since it is smaller than the sum of its proper divisors (10813068096).

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

3922524480 is a wasteful number, since it uses less digits than its factorization.

3922524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3922524480 is about 62630.0605141014. The cubic root of 3922524480 is about 1577.0854350174.

The spelling of 3922524480 in words is "three billion, nine hundred twenty-two million, five hundred twenty-four thousand, four hundred eighty".