3953288640 has 336 divisors, whose sum is σ = 15077505024. Its totient is φ = 874137600.

The previous prime is 3953288623. The next prime is 3953288653. The reversal of 3953288640 is 468823593.

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

It is a super-4 number, since 4×3953288640⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3953288640.

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, 1456885 + ... + 1459595.

Almost surely, 2^3953288640 is an apocalyptic number.

3953288640 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 3953288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538752512).

3953288640 is an abundant number, since it is smaller than the sum of its proper divisors (11124216384).

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

3953288640 is a wasteful number, since it uses less digits than its factorization.

3953288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3953288640 is about 62875.1830216024. The cubic root of 3953288640 is about 1581.1977031973.

The spelling of 3953288640 in words is "three billion, nine hundred fifty-three million, two hundred eighty-eight thousand, six hundred forty".