3667080420 has 144 divisors (see below), whose sum is σ = 11544204672. Its totient is φ = 941552640.

The previous prime is 3667080413. The next prime is 3667080437. The reversal of 3667080420 is 240807663.

3667080420 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546204 + ... + 552876.

It is an arithmetic number, because the mean of its divisors is an integer number (80168088).

Almost surely, 2^3667080420 is an apocalyptic number.

3667080420 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 3667080420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772102336).

3667080420 is an abundant number, since it is smaller than the sum of its proper divisors (7877124252).

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

3667080420 is a wasteful number, since it uses less digits than its factorization.

3667080420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3667080420 is about 60556.4234412833. The cubic root of 3667080420 is about 1542.0796690557.

The spelling of 3667080420 in words is "three billion, six hundred sixty-seven million, eighty thousand, four hundred twenty".