34067700014400 has 672 divisors, whose sum is σ = 133799430038400. Its totient is φ = 8382320640000.

The previous prime is 34067700014399. The next prime is 34067700014449. The reversal of 34067700014400 is 441000776043.

It is a happy number.

It is a super-2 number, since 2×34067700014400² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1465202775 + ... + 1465226025.

It is an arithmetic number, because the mean of its divisors is an integer number (199106294700).

Almost surely, 2^{34067700014400} is an apocalyptic number.

34067700014400 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 34067700014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66899715019200).

34067700014400 is an abundant number, since it is smaller than the sum of its proper divisors (99731730024000).

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

34067700014400 is a wasteful number, since it uses less digits than its factorization.

34067700014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904 (or 25883 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34067700014400 in words is "thirty-four trillion, sixty-seven billion, seven hundred million, fourteen thousand, four hundred".