34207764480 has 520 divisors, whose sum is σ = 129946545432. Its totient is φ = 8578400256.

The previous prime is 34207764457. The next prime is 34207764491. The reversal of 34207764480 is 8446770243.

34207764480 is a `hidden beast` number, since 3 + 42 + 0 + 77 + 64 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1077940224 + 33129824256 = 32832^2 + 182016^2 .

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 39 ways as a sum of consecutive naturals, for example, 28200354 + ... + 28201566.

Almost surely, 2^34207764480 is an apocalyptic number.

34207764480 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 34207764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64973272716).

34207764480 is an abundant number, since it is smaller than the sum of its proper divisors (95738780952).

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

34207764480 is a wasteful number, since it uses less digits than its factorization.

34207764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 34207764480 in words is "thirty-four billion, two hundred seven million, seven hundred sixty-four thousand, four hundred eighty".