34678644000 has 768 divisors, whose sum is σ = 152588427264. Its totient is φ = 6649344000.

The previous prime is 34678643959. The next prime is 34678644041. The reversal of 34678644000 is 44687643.

It is an interprime number because it is at equal distance from previous prime (34678643959) and next prime (34678644041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12010557 + ... + 12013443.

It is an arithmetic number, because the mean of its divisors is an integer number (198682848).

Almost surely, 2^34678644000 is an apocalyptic number.

34678644000 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 34678644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76294213632).

34678644000 is an abundant number, since it is smaller than the sum of its proper divisors (117909783264).

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

34678644000 is a wasteful number, since it uses less digits than its factorization.

34678644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 34678644000 in words is "thirty-four billion, six hundred seventy-eight million, six hundred forty-four thousand".