34854912000 has 720 divisors, whose sum is σ = 131839728384. Its totient is φ = 8847360000.

The previous prime is 34854911999. The next prime is 34854912023. The reversal of 34854912000 is 21945843.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571391970 + ... + 571392030.

Almost surely, 2^34854912000 is an apocalyptic number.

34854912000 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 34854912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65919864192).

34854912000 is an abundant number, since it is smaller than the sum of its proper divisors (96984816384).

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

34854912000 is an equidigital number, since it uses as much as digits as its factorization.

34854912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34854912000 in words is "thirty-four billion, eight hundred fifty-four million, nine hundred twelve thousand".