34099466400 has 288 divisors, whose sum is σ = 126662518080. Its totient is φ = 8847221760.

The previous prime is 34099466393. The next prime is 34099466407. The reversal of 34099466400 is 466499043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34099466393) and next prime (34099466407).

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (34099466407) 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, 777867 + ... + 820533.

It is an arithmetic number, because the mean of its divisors is an integer number (439800410).

Almost surely, 2^34099466400 is an apocalyptic number.

34099466400 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 34099466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63331259040).

34099466400 is an abundant number, since it is smaller than the sum of its proper divisors (92563051680).

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

34099466400 is a wasteful number, since it uses less digits than its factorization.

34099466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42733 (or 42714 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34099466400 in words is "thirty-four billion, ninety-nine million, four hundred sixty-six thousand, four hundred".