3513679785 has 216 divisors, whose sum is σ = 8167932864. Its totient is φ = 1357274880.

The previous prime is 3513679781. The next prime is 3513679811. The reversal of 3513679785 is 5879763153.

It is not a de Polignac number, because 3513679785 - 2² = 3513679781 is a prime.

Its product of digits (4762800) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (3513679781) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 66295819 + ... + 66295871.

It is an arithmetic number, because the mean of its divisors is an integer number (37814504).

Almost surely, 2^3513679785 is an apocalyptic number.

3513679785 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3513679785 is an abundant number, since it is smaller than the sum of its proper divisors (4654253079).

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

3513679785 is a wasteful number, since it uses less digits than its factorization.

3513679785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 98 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 3513679785 is about 59276.3003653231. The cubic root of 3513679785 is about 1520.2700041185.

It can be divided in two parts, 35136 and 79785, that added together give a square (114921 = 339²).

The spelling of 3513679785 in words is "three billion, five hundred thirteen million, six hundred seventy-nine thousand, seven hundred eighty-five".