4013677000 has 64 divisors (see below), whose sum is σ = 9480032640. Its totient is φ = 1590424000.

The previous prime is 4013676973. The next prime is 4013677007. The reversal of 4013677000 is 7763104.

It is a super-2 number, since 2×4013677000² = 32219206120658000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013677000.

It is not an unprimeable number, because it can be changed into a prime (4013677007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88245 + ... + 125755.

It is an arithmetic number, because the mean of its divisors is an integer number (148125510).

Almost surely, 2^4013677000 is an apocalyptic number.

4013677000 is a gapful number since it is divisible by the number (40) 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 4013677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740016320).

4013677000 is an abundant number, since it is smaller than the sum of its proper divisors (5466355640).

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

4013677000 is a wasteful number, since it uses less digits than its factorization.

4013677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37639 (or 37625 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 4013677000 is about 63353.5871123333. The cubic root of 4013677000 is about 1589.2082341437.

The spelling of 4013677000 in words is "four billion, thirteen million, six hundred seventy-seven thousand".