34004292480 has 224 divisors, whose sum is σ = 121883184360. Its totient is φ = 9067686912.

The previous prime is 34004292407. The next prime is 34004292481. The reversal of 34004292480 is 8429240043.

34004292480 is a `hidden beast` number, since 3 + 400 + 4 + 2 + 9 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004292481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 430119 + ... + 503001.

Almost surely, 2^34004292480 is an apocalyptic number.

34004292480 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 34004292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60941592180).

34004292480 is an abundant number, since it is smaller than the sum of its proper divisors (87878891880).

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

34004292480 is an frugal number, since it uses more digits than its factorization.

34004292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72920 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34004292480 in words is "thirty-four billion, four million, two hundred ninety-two thousand, four hundred eighty".