3512938104 has 288 divisors, whose sum is σ = 10871078400. Its totient is φ = 1023010560.

The previous prime is 3512938087. The next prime is 3512938153. The reversal of 3512938104 is 4018392153.

3512938104 is a `hidden beast` number, since 3 + 512 + 9 + 38 + 104 = 666.

3512938104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3512938104² = 24681468245070229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25272867 + ... + 25273005.

It is an arithmetic number, because the mean of its divisors is an integer number (37746800).

Almost surely, 2^3512938104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3512938104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435539200).

3512938104 is an abundant number, since it is smaller than the sum of its proper divisors (7358140296).

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

3512938104 is a wasteful number, since it uses less digits than its factorization.

3512938104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3512938104 is about 59270.0439007767. The cubic root of 3512938104 is about 1520.1630284509.

The spelling of 3512938104 in words is "three billion, five hundred twelve million, nine hundred thirty-eight thousand, one hundred four".