34202742252 has 72 divisors (see below), whose sum is σ = 92957966640. Its totient is φ = 9759375360.

The previous prime is 34202742247. The next prime is 34202742253. The reversal of 34202742252 is 25224720243.

It is a super-3 number, since 3×34202742252³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34202742253) 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, 414352 + ... + 489992.

It is an arithmetic number, because the mean of its divisors is an integer number (1291082870).

Almost surely, 2^34202742252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202742252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46478983320).

34202742252 is an abundant number, since it is smaller than the sum of its proper divisors (58755224388).

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

34202742252 is a wasteful number, since it uses less digits than its factorization.

34202742252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76431 (or 76422 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The spelling of 34202742252 in words is "thirty-four billion, two hundred two million, seven hundred forty-two thousand, two hundred fifty-two".