34287643320 has 256 divisors, whose sum is σ = 119024640000. Its totient is φ = 7740043776.

The previous prime is 34287643309. The next prime is 34287643337. The reversal of 34287643320 is 2334678243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24507981 + ... + 24509379.

It is an arithmetic number, because the mean of its divisors is an integer number (464940000).

Almost surely, 2^34287643320 is an apocalyptic number.

34287643320 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 34287643320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320000).

34287643320 is an abundant number, since it is smaller than the sum of its proper divisors (84736996680).

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

34287643320 is a wasteful number, since it uses less digits than its factorization.

34287643320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 34287643320 in words is "thirty-four billion, two hundred eighty-seven million, six hundred forty-three thousand, three hundred twenty".