34899552 has 96 divisors (see below), whose sum is σ = 105154560. Its totient is φ = 11249280.

The previous prime is 34899479. The next prime is 34899559. The reversal of 34899552 is 25599843.

34899552 is a `hidden beast` number, since 3 + 4 + 8 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34899498 and 34899507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34899559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26133 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (1095360).

Almost surely, 2^34899552 is an apocalyptic number.

34899552 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 34899552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577280).

34899552 is an abundant number, since it is smaller than the sum of its proper divisors (70255008).

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

34899552 is a wasteful number, since it uses less digits than its factorization.

34899552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1339 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 34899552 is about 5907.5842778584. The cubic root of 34899552 is about 326.7934054012.

It can be divided in two parts, 3489 and 9552, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 34899552 in words is "thirty-four million, eight hundred ninety-nine thousand, five hundred fifty-two".