34437749400 has 240 divisors, whose sum is σ = 123733486800. Its totient is φ = 8866609920.

The previous prime is 34437749393. The next prime is 34437749407. The reversal of 34437749400 is 494773443.

It is an interprime number because it is at equal distance from previous prime (34437749393) and next prime (34437749407).

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 (34437749407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 433149 + ... + 506451.

It is an arithmetic number, because the mean of its divisors is an integer number (515556195).

Almost surely, 2^34437749400 is an apocalyptic number.

34437749400 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 34437749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61866743400).

34437749400 is an abundant number, since it is smaller than the sum of its proper divisors (89295737400).

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

34437749400 is a wasteful number, since it uses less digits than its factorization.

34437749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73360 (or 73342 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34437749400 in words is "thirty-four billion, four hundred thirty-seven million, seven hundred forty-nine thousand, four hundred".