34954214400 has 396 divisors, whose sum is σ = 143038169872. Its totient is φ = 7989166080.

The previous prime is 34954214363. The next prime is 34954214413. The reversal of 34954214400 is 441245943.

34954214400 is a `hidden beast` number, since 34 + 9 + 5 + 4 + 214 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 1601964 + ... + 1623636.

Almost surely, 2^34954214400 is an apocalyptic number.

34954214400 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 34954214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71519084936).

34954214400 is an abundant number, since it is smaller than the sum of its proper divisors (108083955472).

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

34954214400 is a wasteful number, since it uses less digits than its factorization.

34954214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716 (or 21690 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34954214400 in words is "thirty-four billion, nine hundred fifty-four million, two hundred fourteen thousand, four hundred".