34948368 has 240 divisors, whose sum is σ = 126658560. Its totient is φ = 9144576.

The previous prime is 34948363. The next prime is 34948399. The reversal of 34948368 is 86384943.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34948363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275121 + ... + 275247.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 2^34948368 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 34948368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

34948368 is an abundant number, since it is smaller than the sum of its proper divisors (91710192).

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

34948368 is a wasteful number, since it uses less digits than its factorization.

34948368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 34948368 is about 5911.7144721307. The cubic root of 34948368 is about 326.9457026250.

The spelling of 34948368 in words is "thirty-four million, nine hundred forty-eight thousand, three hundred sixty-eight".