3679676000 has 384 divisors, whose sum is σ = 12152125440. Its totient is φ = 1057536000.

The previous prime is 3679675969. The next prime is 3679676003. The reversal of 3679676000 is 6769763.

3679676000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679676003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003541 + ... + 4004459.

It is an arithmetic number, because the mean of its divisors is an integer number (31646160).

Almost surely, 2^3679676000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076062720).

3679676000 is an abundant number, since it is smaller than the sum of its proper divisors (8472449440).

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

3679676000 is a wasteful number, since it uses less digits than its factorization.

3679676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 44.

The square root of 3679676000 is about 60660.3330027127. Note that the first 3 decimals coincide. The cubic root of 3679676000 is about 1543.8432147706.

The spelling of 3679676000 in words is "three billion, six hundred seventy-nine million, six hundred seventy-six thousand".