3667274520 has 256 divisors, whose sum is σ = 13872660480. Its totient is φ = 754790400.

The previous prime is 3667274503. The next prime is 3667274543. The reversal of 3667274520 is 254727663.

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 63 ways as a sum of consecutive naturals, for example, 443625 + ... + 451815.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 2^3667274520 is an apocalyptic number.

3667274520 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 3667274520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

3667274520 is an abundant number, since it is smaller than the sum of its proper divisors (10205385960).

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

3667274520 is a wasteful number, since it uses less digits than its factorization.

3667274520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3667274520 is about 60558.0260576581. The cubic root of 3667274520 is about 1542.1068762022.

The spelling of 3667274520 in words is "three billion, six hundred sixty-seven million, two hundred seventy-four thousand, five hundred twenty".