34030728547200 has 4608 divisors, whose sum is σ = 169054179840000. Its totient is φ = 6542888140800.

The previous prime is 34030728547181. The next prime is 34030728547219. The reversal of 34030728547200 is 274582703043.

34030728547200 is a `hidden beast` number, since 3 + 4 + 0 + 30 + 72 + 8 + 547 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34030728547181) and next prime (34030728547219).

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 575 ways as a sum of consecutive naturals, for example, 68197852551 + ... + 68197853049.

It is an arithmetic number, because the mean of its divisors is an integer number (36687105000).

Almost surely, 2^{34030728547200} is an apocalyptic number.

34030728547200 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 34030728547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527089920000).

34030728547200 is an abundant number, since it is smaller than the sum of its proper divisors (135023451292800).

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

34030728547200 is a wasteful number, since it uses less digits than its factorization.

34030728547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 34030728547200 in words is "thirty-four trillion, thirty billion, seven hundred twenty-eight million, five hundred forty-seven thousand, two hundred".