34766820 has 120 divisors (see below), whose sum is σ = 119040768. Its totient is φ = 8424000.

The previous prime is 34766813. The next prime is 34766821. The reversal of 34766820 is 2866743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34766821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16845 + ... + 18795.

Almost surely, 2^34766820 is an apocalyptic number.

34766820 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 34766820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520384).

34766820 is an abundant number, since it is smaller than the sum of its proper divisors (84273948).

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

34766820 is a wasteful number, since it uses less digits than its factorization.

34766820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 34766820 is about 5896.3395424619. The cubic root of 34766820 is about 326.3785858572.

It can be divided in two parts, 3476 and 6820, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 34766820 in words is "thirty-four million, seven hundred sixty-six thousand, eight hundred twenty".