3764673000 has 288 divisors, whose sum is σ = 13990583880. Its totient is φ = 912384000.

The previous prime is 3764672971. The next prime is 3764673007. The reversal of 3764673000 is 3764673.

3764673000 is a `hidden beast` number, since 3 + 7 + 646 + 7 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212751396 + 3551921604 = 14586^2 + 59598^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3764673007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087272 + ... + 1090728.

Almost surely, 2^3764673000 is an apocalyptic number.

3764673000 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 3764673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995291940).

3764673000 is an abundant number, since it is smaller than the sum of its proper divisors (10225910880).

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

3764673000 is a wasteful number, since it uses less digits than its factorization.

3764673000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3764673000 is about 61356.9311488115. The cubic root of 3764673000 is about 1555.6399457240.

3764673000 divided by its reverse (3764673) gives a cube (1000 = 10³).

The spelling of 3764673000 in words is "three billion, seven hundred sixty-four million, six hundred seventy-three thousand".