3113777700 has 378 divisors, whose sum is σ = 11166955842. Its totient is φ = 752716800.

The previous prime is 3113777699. The next prime is 3113777707. The reversal of 3113777700 is 77773113.

It can be written as a sum of positive squares in 3 ways, for example, as 127373796 + 2986403904 = 11286^2 + 54648^2 .

It is a super-2 number, since 2×3113777700² = 19391223130034580000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113777707) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 8820724 + ... + 8821076.

Almost surely, 2^3113777700 is an apocalyptic number.

3113777700 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 3113777700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583477921).

3113777700 is an abundant number, since it is smaller than the sum of its proper divisors (8053178142).

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

3113777700 is a wasteful number, since it uses less digits than its factorization.

3113777700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 36.

The square root of 3113777700 is about 55801.2338573261. The cubic root of 3113777700 is about 1460.2566790846.

It can be divided in two parts, 31 and 13777700, that added together give a palindrome (13777731).

The spelling of 3113777700 in words is "three billion, one hundred thirteen million, seven hundred seventy-seven thousand, seven hundred".