34395459840 has 864 divisors, whose sum is σ = 149596272000. Its totient is φ = 7441072128.

The previous prime is 34395459737. The next prime is 34395459919. The reversal of 34395459840 is 4895459343.

34395459840 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 5 + 4 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32174826 + ... + 32175894.

Almost surely, 2^34395459840 is an apocalyptic number.

34395459840 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 34395459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74798136000).

34395459840 is an abundant number, since it is smaller than the sum of its proper divisors (115200812160).

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

34395459840 is a wasteful number, since it uses less digits than its factorization.

34395459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 34395459840 in words is "thirty-four billion, three hundred ninety-five million, four hundred fifty-nine thousand, eight hundred forty".