3672838890 has 320 divisors, whose sum is σ = 12032317440. Its totient is φ = 785220480.

The previous prime is 3672838867. The next prime is 3672838907. The reversal of 3672838890 is 988382763.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11096025 + ... + 11096355.

It is an arithmetic number, because the mean of its divisors is an integer number (37600992).

Almost surely, 2^3672838890 is an apocalyptic number.

3672838890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672838890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016158720).

3672838890 is an abundant number, since it is smaller than the sum of its proper divisors (8359478550).

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

3672838890 is a wasteful number, since it uses less digits than its factorization.

3672838890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3672838890 is about 60603.9511088180. The cubic root of 3672838890 is about 1542.8864303303.

The spelling of 3672838890 in words is "three billion, six hundred seventy-two million, eight hundred thirty-eight thousand, eight hundred ninety".