3462401267136 has 560 divisors, whose sum is σ = 12244661637120. Its totient is φ = 946561904640.

The previous prime is 3462401267131. The next prime is 3462401267137. The reversal of 3462401267136 is 6317621042643.

3462401267136 is a `hidden beast` number, since 3 + 4 + 624 + 0 + 1 + 2 + 6 + 7 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3462401267091 and 3462401267100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462401267131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100101301 + ... + 100135883.

Almost surely, 2^{3462401267136} is an apocalyptic number.

3462401267136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3462401267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122330818560).

3462401267136 is an abundant number, since it is smaller than the sum of its proper divisors (8782260369984).

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

3462401267136 is a wasteful number, since it uses less digits than its factorization.

3462401267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34734 (or 34715 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3462401267136 in words is "three trillion, four hundred sixty-two billion, four hundred one million, two hundred sixty-seven thousand, one hundred thirty-six".