34721400 has 144 divisors (see below), whose sum is σ = 125315640. Its totient is φ = 7929600.

The previous prime is 34721399. The next prime is 34721443. The reversal of 34721400 is 412743.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28810 + ... + 29990.

Almost surely, 2^34721400 is an apocalyptic number.

34721400 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 34721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657820).

34721400 is an abundant number, since it is smaller than the sum of its proper divisors (90594240).

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

34721400 is a wasteful number, since it uses less digits than its factorization.

34721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34721400 is about 5892.4867416058. The cubic root of 34721400 is about 326.2363949641.

The spelling of 34721400 in words is "thirty-four million, seven hundred twenty-one thousand, four hundred".