34277428130400 has 1152 divisors, whose sum is σ = 155692785024000. Its totient is φ = 7232140339200.

The previous prime is 34277428130371. The next prime is 34277428130503. The reversal of 34277428130400 is 403182477243.

34277428130400 is a `hidden beast` number, since 3 + 4 + 2 + 77 + 42 + 8 + 130 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96136455 + ... + 96492345.

It is an arithmetic number, because the mean of its divisors is an integer number (135149987000).

Almost surely, 2^{34277428130400} is an apocalyptic number.

34277428130400 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 34277428130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77846392512000).

34277428130400 is an abundant number, since it is smaller than the sum of its proper divisors (121415356893600).

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

34277428130400 is a wasteful number, since it uses less digits than its factorization.

34277428130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355954 (or 355921 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 34277428130400 in words is "thirty-four trillion, two hundred seventy-seven billion, four hundred twenty-eight million, one hundred thirty thousand, four hundred".