34813152 has 216 divisors, whose sum is σ = 115898328. Its totient is φ = 10264320.

The previous prime is 34813123. The next prime is 34813157. The reversal of 34813152 is 25131843.

It is a happy number.

34813152 is a `hidden beast` number, since 348 + 1 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34813157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940878 + ... + 940914.

Almost surely, 2^34813152 is an apocalyptic number.

34813152 is a gapful number since it is divisible by the number (32) 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 34813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57949164).

34813152 is an abundant number, since it is smaller than the sum of its proper divisors (81085176).

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

34813152 is a wasteful number, since it uses less digits than its factorization.

34813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 34813152 is about 5900.2671125975. The cubic root of 34813152 is about 326.5235043002.

Adding to 34813152 its reverse (25131843), we get a palindrome (59944995).

The spelling of 34813152 in words is "thirty-four million, eight hundred thirteen thousand, one hundred fifty-two".