3462242434560 has 3200 divisors, whose sum is σ = 16601831414784. Its totient is φ = 668860416000.

The previous prime is 3462242434529. The next prime is 3462242434591. The reversal of 3462242434560 is 654342422643.

3462242434560 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 2 + 42 + 43 + 4 + 560 = 666.

3462242434560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3462242434529) and next prime (3462242434591).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13793794435 + ... + 13793794685.

Almost surely, 2^{3462242434560} is an apocalyptic number.

3462242434560 is a gapful number since it is divisible by the number (30) 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 3462242434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300915707392).

3462242434560 is an abundant number, since it is smaller than the sum of its proper divisors (13139588980224).

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

3462242434560 is a wasteful number, since it uses less digits than its factorization.

3462242434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 3462242434560 in words is "three trillion, four hundred sixty-two billion, two hundred forty-two million, four hundred thirty-four thousand, five hundred sixty".