3406765331025 has 72 divisors (see below), whose sum is σ = 7340625913920. Its totient is φ = 1475411137920.

The previous prime is 3406765330979. The next prime is 3406765331041. The reversal of 3406765331025 is 5201335676043.

It is a happy number.

3406765331025 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 7 + 6 + 533 + 102 + 5 = 666.

It is not a de Polignac number, because 3406765331025 - 2¹² = 3406765326929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 56891802 + ... + 56951651.

Almost surely, 2^{3406765331025} is an apocalyptic number.

3406765331025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3406765331025 is an abundant number, since it is smaller than the sum of its proper divisors (3933860582895).

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

3406765331025 is a wasteful number, since it uses less digits than its factorization.

3406765331025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113843495 (or 113843487 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 3406765331025 in words is "three trillion, four hundred six billion, seven hundred sixty-five million, three hundred thirty-one thousand, twenty-five".