3045300935040 has 3840 divisors, whose sum is σ = 14986892574720. Its totient is φ = 573882236928.

The previous prime is 3045300935003. The next prime is 3045300935069. The reversal of 3045300935040 is 405390035403.

It is a happy number.

3045300935040 is a `hidden beast` number, since 30 + 4 + 5 + 30 + 0 + 93 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3045300934986 and 3045300935004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23978747457 + ... + 23978747583.

It is an arithmetic number, because the mean of its divisors is an integer number (3902836608).

Almost surely, 2^{3045300935040} is an apocalyptic number.

3045300935040 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 3045300935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493446287360).

3045300935040 is an abundant number, since it is smaller than the sum of its proper divisors (11941591639680).

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

3045300935040 is a wasteful number, since it uses less digits than its factorization.

3045300935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 3045300935040 in words is "three trillion, forty-five billion, three hundred million, nine hundred thirty-five thousand, forty".