34785469440 has 528 divisors, whose sum is σ = 127037933568. Its totient is φ = 9125167104.

The previous prime is 34785469429. The next prime is 34785469441. The reversal of 34785469440 is 4496458743.

34785469440 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 546 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×34785469440² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34785469441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90823489 + ... + 90823871.

Almost surely, 2^34785469440 is an apocalyptic number.

34785469440 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 34785469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63518966784).

34785469440 is an abundant number, since it is smaller than the sum of its proper divisors (92252464128).

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

34785469440 is an equidigital number, since it uses as much as digits as its factorization.

34785469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34785469440 in words is "thirty-four billion, seven hundred eighty-five million, four hundred sixty-nine thousand, four hundred forty".