3482971956 has 36 divisors (see below), whose sum is σ = 8970300612. Its totient is φ = 1139084544.

The previous prime is 3482971931. The next prime is 3482971969. The reversal of 3482971956 is 6591792843.

3482971956 is a `hidden beast` number, since 3 + 482 + 9 + 71 + 95 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3197902500 + 285069456 = 56550^2 + 16884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910821 + ... + 914636.

It is an arithmetic number, because the mean of its divisors is an integer number (249175017).

Almost surely, 2^3482971956 is an apocalyptic number.

3482971956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3482971956 is an abundant number, since it is smaller than the sum of its proper divisors (5487328656).

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

3482971956 is a wasteful number, since it uses less digits than its factorization.

3482971956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825520 (or 1825515 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3482971956 is about 59016.7091254672. The cubic root of 3482971956 is about 1515.8282358196.

The spelling of 3482971956 in words is "three billion, four hundred eighty-two million, nine hundred seventy-one thousand, nine hundred fifty-six".