34649370 has 168 divisors, whose sum is σ = 109898964. Its totient is φ = 7838208.

The previous prime is 34649347. The next prime is 34649371. The reversal of 34649370 is 7394643.

34649370 is a `hidden beast` number, since 3 + 4 + 649 + 3 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34327881 + 321489 = 5859^2 + 567^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34649371) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 357162 + ... + 357258.

Almost surely, 2^34649370 is an apocalyptic number.

34649370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34649370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54949482).

34649370 is an abundant number, since it is smaller than the sum of its proper divisors (75249594).

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

34649370 is an equidigital number, since it uses as much as digits as its factorization.

34649370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34649370 is about 5886.3715479062. The cubic root of 34649370 is about 326.0106448906.

The spelling of 34649370 in words is "thirty-four million, six hundred forty-nine thousand, three hundred seventy".