34430883840 has 576 divisors, whose sum is σ = 125888424480. Its totient is φ = 9024307200.

The previous prime is 34430883833. The next prime is 34430883841. The reversal of 34430883840 is 4838803443.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430883841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251320252 + ... + 251320388.

Almost surely, 2^34430883840 is an apocalyptic number.

34430883840 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 34430883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62944212240).

34430883840 is an abundant number, since it is smaller than the sum of its proper divisors (91457540640).

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

34430883840 is a wasteful number, since it uses less digits than its factorization.

34430883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 34430883840 in words is "thirty-four billion, four hundred thirty million, eight hundred eighty-three thousand, eight hundred forty".