34620000 has 120 divisors (see below), whose sum is σ = 113757336. Its totient is φ = 9216000.

The previous prime is 34619993. The next prime is 34620013. The reversal of 34620000 is 2643.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59712 + ... + 60288.

Almost surely, 2^34620000 is an apocalyptic number.

34620000 is a gapful number since it is divisible by the number (30) 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 34620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56878668).

34620000 is an abundant number, since it is smaller than the sum of its proper divisors (79137336).

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

34620000 is an equidigital number, since it uses as much as digits as its factorization.

34620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34620000 is about 5883.8762733423. The cubic root of 34620000 is about 325.9185062335.

Adding to 34620000 its reverse (2643), we get a palindrome (34622643).

The spelling of 34620000 in words is "thirty-four million, six hundred twenty thousand".