3430977144 has 64 divisors (see below), whose sum is σ = 10067750400. Its totient is φ = 953783424.

The previous prime is 3430977127. The next prime is 3430977161. The reversal of 3430977144 is 4417790343.

It is an interprime number because it is at equal distance from previous prime (3430977127) and next prime (3430977161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3430977096 and 3430977105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269764 + ... + 282195.

It is an arithmetic number, because the mean of its divisors is an integer number (157308600).

Almost surely, 2^3430977144 is an apocalyptic number.

It is an amenable number.

3430977144 is an abundant number, since it is smaller than the sum of its proper divisors (6636773256).

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

3430977144 is a wasteful number, since it uses less digits than its factorization.

3430977144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552012 (or 552008 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3430977144 is about 58574.5434809355. The cubic root of 3430977144 is about 1508.2474798286.

The spelling of 3430977144 in words is "three billion, four hundred thirty million, nine hundred seventy-seven thousand, one hundred forty-four".