34777016820 has 384 divisors, whose sum is σ = 134475694080. Its totient is φ = 7265272320.

The previous prime is 34777016809. The next prime is 34777016831. The reversal of 34777016820 is 2861077743.

34777016820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34777016809) and next prime (34777016831).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5057985 + ... + 5064855.

It is an arithmetic number, because the mean of its divisors is an integer number (350197120).

Almost surely, 2^34777016820 is an apocalyptic number.

34777016820 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 34777016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67237847040).

34777016820 is an abundant number, since it is smaller than the sum of its proper divisors (99698677260).

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

34777016820 is a wasteful number, since it uses less digits than its factorization.

34777016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 34777016820 in words is "thirty-four billion, seven hundred seventy-seven million, sixteen thousand, eight hundred twenty".