3434797800 has 144 divisors (see below), whose sum is σ = 13183129440. Its totient is φ = 785093760.

The previous prime is 3434797781. The next prime is 3434797811. The reversal of 3434797800 is 87974343.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 123702 + ... + 148901.

It is an arithmetic number, because the mean of its divisors is an integer number (91549510).

Almost surely, 2^3434797800 is an apocalyptic number.

3434797800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434797800 is an abundant number, since it is smaller than the sum of its proper divisors (9748331640).

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

3434797800 is a wasteful number, since it uses less digits than its factorization.

3434797800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272632 (or 272620 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3434797800 is about 58607.1480282056. The cubic root of 3434797800 is about 1508.8071218655.

The spelling of 3434797800 in words is "three billion, four hundred thirty-four million, seven hundred ninety-seven thousand, eight hundred".