3480685956 has 216 divisors, whose sum is σ = 10292353344. Its totient is φ = 981720960.

The previous prime is 3480685931. The next prime is 3480685969. The reversal of 3480685956 is 6595860843.

It is a happy number.

3480685956 is a `hidden beast` number, since 3 + 48 + 0 + 6 + 8 + 595 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20119486 + ... + 20119658.

It is an arithmetic number, because the mean of its divisors is an integer number (47649784).

Almost surely, 2^3480685956 is an apocalyptic number.

3480685956 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 3480685956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146176672).

3480685956 is an abundant number, since it is smaller than the sum of its proper divisors (6811667388).

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

3480685956 is a wasteful number, since it uses less digits than its factorization.

3480685956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3480685956 is about 58997.3385501414. The cubic root of 3480685956 is about 1515.4965323419.

The spelling of 3480685956 in words is "three billion, four hundred eighty million, six hundred eighty-five thousand, nine hundred fifty-six".