34742016 has 108 divisors (see below), whose sum is σ = 106181712. Its totient is φ = 10887168.

The previous prime is 34741991. The next prime is 34742023. The reversal of 34742016 is 61024743.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38725 + ... + 39611.

It is an arithmetic number, because the mean of its divisors is an integer number (983164).

Almost surely, 2^34742016 is an apocalyptic number.

34742016 is a gapful number since it is divisible by the number (36) 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 34742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090856).

34742016 is an abundant number, since it is smaller than the sum of its proper divisors (71439696).

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

34742016 is a wasteful number, since it uses less digits than its factorization.

34742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34742016 is about 5894.2358283326. The cubic root of 34742016 is about 326.3009503375.

Adding to 34742016 its reverse (61024743), we get a palindrome (95766759).

The spelling of 34742016 in words is "thirty-four million, seven hundred forty-two thousand, sixteen".