3425077656 has 768 divisors, whose sum is σ = 13605580800. Its totient is φ = 783820800.

The previous prime is 3425077631. The next prime is 3425077681. The reversal of 3425077656 is 6567705243.

It is an interprime number because it is at equal distance from previous prime (3425077631) and next prime (3425077681).

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 191 ways as a sum of consecutive naturals, for example, 46918836 + ... + 46918908.

It is an arithmetic number, because the mean of its divisors is an integer number (17715600).

Almost surely, 2^3425077656 is an apocalyptic number.

3425077656 is a gapful number since it is divisible by the number (36) 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 3425077656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802790400).

3425077656 is an abundant number, since it is smaller than the sum of its proper divisors (10180503144).

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

3425077656 is a wasteful number, since it uses less digits than its factorization.

3425077656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3425077656 is about 58524.1630098201. The cubic root of 3425077656 is about 1507.3825180098.

The spelling of 3425077656 in words is "three billion, four hundred twenty-five million, seventy-seven thousand, six hundred fifty-six".