34535150400 has 168 divisors, whose sum is σ = 114308558784. Its totient is φ = 9127731200.

The previous prime is 34535150357. The next prime is 34535150401. The reversal of 34535150400 is 405153543.

It is a super-2 number, since 2×34535150400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34535150401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510565 + ... + 574235.

It is an arithmetic number, because the mean of its divisors is an integer number (680408088).

Almost surely, 2^34535150400 is an apocalyptic number.

34535150400 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 34535150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57154279392).

34535150400 is an abundant number, since it is smaller than the sum of its proper divisors (79773408384).

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

34535150400 is a wasteful number, since it uses less digits than its factorization.

34535150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63809 (or 63794 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 34535150400 in words is "thirty-four billion, five hundred thirty-five million, one hundred fifty thousand, four hundred".