34284044520 has 384 divisors, whose sum is σ = 126012257280. Its totient is φ = 8008704000.

The previous prime is 34284044497. The next prime is 34284044527. The reversal of 34284044520 is 2544048243.

34284044520 is a `hidden beast` number, since 34 + 28 + 40 + 44 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34284044527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38914480 + ... + 38915360.

It is an arithmetic number, because the mean of its divisors is an integer number (328156920).

Almost surely, 2^34284044520 is an apocalyptic number.

34284044520 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 34284044520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63006128640).

34284044520 is an abundant number, since it is smaller than the sum of its proper divisors (91728212760).

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

34284044520 is a wasteful number, since it uses less digits than its factorization.

34284044520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 34284044520 in words is "thirty-four billion, two hundred eighty-four million, forty-four thousand, five hundred twenty".