3430628976 has 80 divisors (see below), whose sum is σ = 8954426880. Its totient is φ = 1131732480.

The previous prime is 3430628969. The next prime is 3430628983. The reversal of 3430628976 is 6798260343.

It is an interprime number because it is at equal distance from previous prime (3430628969) and next prime (3430628983).

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 15 ways as a sum of consecutive naturals, for example, 2875036 + ... + 2876228.

It is an arithmetic number, because the mean of its divisors is an integer number (111930336).

Almost surely, 2^3430628976 is an apocalyptic number.

It is an amenable number.

3430628976 is an abundant number, since it is smaller than the sum of its proper divisors (5523797904).

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

3430628976 is a wasteful number, since it uses less digits than its factorization.

3430628976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3430628976 is about 58571.5713977353. The cubic root of 3430628976 is about 1508.1964602259.

The spelling of 3430628976 in words is "three billion, four hundred thirty million, six hundred twenty-eight thousand, nine hundred seventy-six".