34723670400 has 1152 divisors, whose sum is σ = 142062336000. Its totient is φ = 8028979200.

The previous prime is 34723670327. The next prime is 34723670437. The reversal of 34723670400 is 407632743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 390153556 + ... + 390153644.

It is an arithmetic number, because the mean of its divisors is an integer number (123318000).

Almost surely, 2^34723670400 is an apocalyptic number.

34723670400 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 34723670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168000).

34723670400 is an abundant number, since it is smaller than the sum of its proper divisors (107338665600).

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

34723670400 is a wasteful number, since it uses less digits than its factorization.

34723670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 34723670400 in words is "thirty-four billion, seven hundred twenty-three million, six hundred seventy thousand, four hundred".