34197668996400 has 2400 divisors, whose sum is σ = 159880309783040. Its totient is φ = 6798010613760.

The previous prime is 34197668996371. The next prime is 34197668996401. The reversal of 34197668996400 is 469986679143.

34197668996400 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 76 + 68 + 9 + 96 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34197668996401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10811781219 + ... + 10811784381.

Almost surely, 2^{34197668996400} is an apocalyptic number.

34197668996400 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 34197668996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79940154891520).

34197668996400 is an abundant number, since it is smaller than the sum of its proper divisors (125682640786640).

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

34197668996400 is a wasteful number, since it uses less digits than its factorization.

34197668996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 34197668996400 in words is "thirty-four trillion, one hundred ninety-seven billion, six hundred sixty-eight million, nine hundred ninety-six thousand, four hundred".