3953556480 has 528 divisors, whose sum is σ = 14375245824. Its totient is φ = 924549120.

The previous prime is 3953556473. The next prime is 3953556491. The reversal of 3953556480 is 846553593.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127534065 + ... + 127534095.

Almost surely, 2^3953556480 is an apocalyptic number.

3953556480 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 3953556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187622912).

3953556480 is an abundant number, since it is smaller than the sum of its proper divisors (10421689344).

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

3953556480 is a wasteful number, since it uses less digits than its factorization.

3953556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The square root of 3953556480 is about 62877.3129196851. The cubic root of 3953556480 is about 1581.2334117316.

The spelling of 3953556480 in words is "three billion, nine hundred fifty-three million, five hundred fifty-six thousand, four hundred eighty".