34020640061820 has 72 divisors (see below), whose sum is σ = 104259817260144. Its totient is φ = 8978643145728.

The previous prime is 34020640061819. The next prime is 34020640061951. The reversal of 34020640061820 is 2816004602043.

34020640061820 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 0 + 640 + 0 + 6 + 1 + 8 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974227674 + ... + 974262593.

It is an arithmetic number, because the mean of its divisors is an integer number (1448053017502).

Almost surely, 2^{34020640061820} is an apocalyptic number.

34020640061820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34020640061820 is an abundant number, since it is smaller than the sum of its proper divisors (70239177198324).

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

34020640061820 is a wasteful number, since it uses less digits than its factorization.

34020640061820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948490379 (or 1948490374 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 34020640061820 its reverse (2816004602043), we get a palindrome (36836644663863).

The spelling of 34020640061820 in words is "thirty-four trillion, twenty billion, six hundred forty million, sixty-one thousand, eight hundred twenty".