4002350976 has 384 divisors, whose sum is σ = 13205687040. Its totient is φ = 1154580480.

The previous prime is 4002350959. The next prime is 4002350977. The reversal of 4002350976 is 6790532004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4002350976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002350977) 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, 17177356 + ... + 17177588.

It is an arithmetic number, because the mean of its divisors is an integer number (34389810).

Almost surely, 2^4002350976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602843520).

4002350976 is an abundant number, since it is smaller than the sum of its proper divisors (9203336064).

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

4002350976 is a wasteful number, since it uses less digits than its factorization.

4002350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4002350976 is about 63264.1365704140. The cubic root of 4002350976 is about 1587.7119862075.

4002350976 divided by its sum of digits (36) gives a triangular number (111176416 = T₁₄₉₁₁).

The spelling of 4002350976 in words is "four billion, two million, three hundred fifty thousand, nine hundred seventy-six".