3669057000 has 448 divisors, whose sum is σ = 14731891200. Its totient is φ = 837475200.

The previous prime is 3669056983. The next prime is 3669057019. The reversal of 3669057000 is 7509663.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5102641 + ... + 5103359.

Almost surely, 2^3669057000 is an apocalyptic number.

3669057000 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 3669057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365945600).

3669057000 is an abundant number, since it is smaller than the sum of its proper divisors (11062834200).

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

3669057000 is an equidigital number, since it uses as much as digits as its factorization.

3669057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3669057000 is about 60572.7413941288. The cubic root of 3669057000 is about 1542.3566829204.

The spelling of 3669057000 in words is "three billion, six hundred sixty-nine million, fifty-seven thousand".