3460607189820 has 144 divisors (see below), whose sum is σ = 11834069254560. Its totient is φ = 838935060480.

The previous prime is 3460607189789. The next prime is 3460607189833. The reversal of 3460607189820 is 289817060643.

3460607189820 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 607 + 1 + 8 + 9 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26416197 + ... + 26546876.

It is an arithmetic number, because the mean of its divisors is an integer number (82181036490).

Almost surely, 2^{3460607189820} is an apocalyptic number.

3460607189820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3460607189820 is an abundant number, since it is smaller than the sum of its proper divisors (8373462064740).

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

3460607189820 is a wasteful number, since it uses less digits than its factorization.

3460607189820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52963113 (or 52963094 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3460607189820 in words is "three trillion, four hundred sixty billion, six hundred seven million, one hundred eighty-nine thousand, eight hundred twenty".