34474920480 has 576 divisors, whose sum is σ = 157964421888. Its totient is φ = 6612295680.

The previous prime is 34474920463. The next prime is 34474920497. The reversal of 34474920480 is 8402947443.

It is an interprime number because it is at equal distance from previous prime (34474920463) and next prime (34474920497).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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, 1429482 + ... + 1453398.

It is an arithmetic number, because the mean of its divisors is an integer number (274243788).

Almost surely, 2^34474920480 is an apocalyptic number.

34474920480 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 34474920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78982210944).

34474920480 is an abundant number, since it is smaller than the sum of its proper divisors (123489501408).

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

34474920480 is a wasteful number, since it uses less digits than its factorization.

34474920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23969 (or 23958 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34474920480 in words is "thirty-four billion, four hundred seventy-four million, nine hundred twenty thousand, four hundred eighty".