361989810 has 192 divisors, whose sum is σ = 1202003712. Its totient is φ = 76329216.

The previous prime is 361989773. The next prime is 361989827. The reversal of 361989810 is 18989163.

It is a super-2 number, since 2×361989810² = 262073245087672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220312 + ... + 221948.

It is an arithmetic number, because the mean of its divisors is an integer number (6260436).

Almost surely, 2^361989810 is an apocalyptic number.

361989810 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 361989810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601001856).

361989810 is an abundant number, since it is smaller than the sum of its proper divisors (840013902).

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

361989810 is a wasteful number, since it uses less digits than its factorization.

361989810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 361989810 is about 19026.0298013012. The cubic root of 361989810 is about 712.6869094127.

The spelling of 361989810 in words is "three hundred sixty-one million, nine hundred eighty-nine thousand, eight hundred ten".