3667451040 has 384 divisors, whose sum is σ = 14213283840. Its totient is φ = 875750400.

The previous prime is 3667451027. The next prime is 3667451059. The reversal of 3667451040 is 401547663.

It is a happy number.

3667451040 is a `hidden beast` number, since 36 + 6 + 74 + 510 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3667450986 and 3667451004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3373377 + ... + 3374463.

It is an arithmetic number, because the mean of its divisors is an integer number (37013760).

Almost surely, 2^3667451040 is an apocalyptic number.

3667451040 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 3667451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106641920).

3667451040 is an abundant number, since it is smaller than the sum of its proper divisors (10545832800).

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

3667451040 is a wasteful number, since it uses less digits than its factorization.

3667451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3667451040 is about 60559.4834852478. The cubic root of 3667451040 is about 1542.1316183131.

The spelling of 3667451040 in words is "three billion, six hundred sixty-seven million, four hundred fifty-one thousand, forty".