34486142400 has 126 divisors (see below), whose sum is σ = 122571943832. Its totient is φ = 9196300800.

The previous prime is 34486142359. The next prime is 34486142407. The reversal of 34486142400 is 424168443.

34486142400 is a `hidden beast` number, since 34 + 4 + 8 + 614 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34486142407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1183036 + ... + 1211835.

Almost surely, 2^34486142400 is an apocalyptic number.

34486142400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34486142400 is an abundant number, since it is smaller than the sum of its proper divisors (88085801432).

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

34486142400 is a wasteful number, since it uses less digits than its factorization.

34486142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394899 (or 2394881 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34486142400 in words is "thirty-four billion, four hundred eighty-six million, one hundred forty-two thousand, four hundred".