3462099226560 has 1008 divisors, whose sum is σ = 14159750675616. Its totient is φ = 802027339776.

The previous prime is 3462099226507. The next prime is 3462099226627. The reversal of 3462099226560 is 656229902643.

3462099226560 is a `hidden beast` number, since 3 + 4 + 620 + 9 + 9 + 2 + 2 + 6 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×3462099226560² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3462099226497 and 3462099226506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223396732 + ... + 223412228.

It is an arithmetic number, because the mean of its divisors is an integer number (14047371702).

Almost surely, 2^{3462099226560} is an apocalyptic number.

3462099226560 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 3462099226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079875337808).

3462099226560 is an abundant number, since it is smaller than the sum of its proper divisors (10697651449056).

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

3462099226560 is a wasteful number, since it uses less digits than its factorization.

3462099226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3462099226560 in words is "three trillion, four hundred sixty-two billion, ninety-nine million, two hundred twenty-six thousand, five hundred sixty".