34700400000 has 1344 divisors, whose sum is σ = 156767153760. Its totient is φ = 7464960000.

The previous prime is 34700399963. The next prime is 34700400011. The reversal of 34700400000 is 400743.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2041199992 + ... + 2041200008.

Almost surely, 2^34700400000 is an apocalyptic number.

34700400000 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 34700400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78383576880).

34700400000 is an abundant number, since it is smaller than the sum of its proper divisors (122066753760).

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

34700400000 is an frugal number, since it uses more digits than its factorization.

34700400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 34700400000 its reverse (400743), we get a palindrome (34700800743).

The spelling of 34700400000 in words is "thirty-four billion, seven hundred million, four hundred thousand".