3679134900 has 288 divisors, whose sum is σ = 12963670272. Its totient is φ = 786432000.

The previous prime is 3679134889. The next prime is 3679134913. The reversal of 3679134900 is 94319763.

3679134900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3679134900² = 27072067224796020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9174700 + ... + 9175100.

It is an arithmetic number, because the mean of its divisors is an integer number (45012744).

Almost surely, 2^3679134900 is an apocalyptic number.

3679134900 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 3679134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481835136).

3679134900 is an abundant number, since it is smaller than the sum of its proper divisors (9284535372).

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

3679134900 is a wasteful number, since it uses less digits than its factorization.

3679134900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3679134900 is about 60655.8727577141. The cubic root of 3679134900 is about 1543.7675365030.

The spelling of 3679134900 in words is "three billion, six hundred seventy-nine million, one hundred thirty-four thousand, nine hundred".