3135436920 has 192 divisors, whose sum is σ = 12704739840. Its totient is φ = 651513600.

The previous prime is 3135436907. The next prime is 3135436951. The reversal of 3135436920 is 296345313.

It is a happy number.

3135436920 is a `hidden beast` number, since 3 + 135 + 436 + 92 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 28836 + ... + 84275.

It is an arithmetic number, because the mean of its divisors is an integer number (66170520).

Almost surely, 2^3135436920 is an apocalyptic number.

3135436920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135436920 is an abundant number, since it is smaller than the sum of its proper divisors (9569302920).

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

3135436920 is a wasteful number, since it uses less digits than its factorization.

3135436920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113146 (or 113139 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3135436920 is about 55994.9722743033. The cubic root of 3135436920 is about 1463.6346732441.

The spelling of 3135436920 in words is "three billion, one hundred thirty-five million, four hundred thirty-six thousand, nine hundred twenty".