34740276480 has 864 divisors, whose sum is σ = 152850647040. Its totient is φ = 7086735360.

The previous prime is 34740276479. The next prime is 34740276481. The reversal of 34740276480 is 8467204743.

34740276480 is a `hidden beast` number, since 34 + 74 + 0 + 2 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (34740276479) and next prime (34740276481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34740276481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32497386 + ... + 32498454.

Almost surely, 2^34740276480 is an apocalyptic number.

34740276480 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 34740276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76425323520).

34740276480 is an abundant number, since it is smaller than the sum of its proper divisors (118110370560).

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

34740276480 is a wasteful number, since it uses less digits than its factorization.

34740276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1130 counting only the distinct ones).

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

The spelling of 34740276480 in words is "thirty-four billion, seven hundred forty million, two hundred seventy-six thousand, four hundred eighty".