3046620726240 has 384 divisors, whose sum is σ = 11828923610112. Its totient is φ = 641856061440.

The previous prime is 3046620726223. The next prime is 3046620726241. The reversal of 3046620726240 is 426270266403.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3046620726192 and 3046620726201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3046620726241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29782380 + ... + 29884500.

It is an arithmetic number, because the mean of its divisors is an integer number (30804488568).

Almost surely, 2^{3046620726240} is an apocalyptic number.

3046620726240 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 3046620726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914461805056).

3046620726240 is an abundant number, since it is smaller than the sum of its proper divisors (8782302883872).

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

3046620726240 is a wasteful number, since it uses less digits than its factorization.

3046620726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102842 (or 102834 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 3046620726240 in words is "three trillion, forty-six billion, six hundred twenty million, seven hundred twenty-six thousand, two hundred forty".