3478637952 has 192 divisors, whose sum is σ = 10646188800. Its totient is φ = 1087147008.

The previous prime is 3478637947. The next prime is 3478637963. The reversal of 3478637952 is 2597368743.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2253693 + ... + 2255235.

It is an arithmetic number, because the mean of its divisors is an integer number (55448900).

Almost surely, 2^3478637952 is an apocalyptic number.

3478637952 is a gapful number since it is divisible by the number (32) 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 3478637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323094400).

3478637952 is an abundant number, since it is smaller than the sum of its proper divisors (7167550848).

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

3478637952 is a wasteful number, since it uses less digits than its factorization.

3478637952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1670 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3478637952 is about 58979.9792471988. The cubic root of 3478637952 is about 1515.1992392282.

The spelling of 3478637952 in words is "three billion, four hundred seventy-eight million, six hundred thirty-seven thousand, nine hundred fifty-two".