361863040 has 192 divisors, whose sum is σ = 1098846000. Its totient is φ = 112680960.

The previous prime is 361863023. The next prime is 361863043. The reversal of 361863040 is 40368163.

It is a junction number, because it is equal to n+sod(n) for n = 361862993 and 361863011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361863043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344436 + ... + 345484.

Almost surely, 2^361863040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549423000).

361863040 is an abundant number, since it is smaller than the sum of its proper divisors (736982960).

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

361863040 is a wasteful number, since it uses less digits than its factorization.

361863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 361863040 is about 19022.6980210484. The cubic root of 361863040 is about 712.6037046137.

The spelling of 361863040 in words is "three hundred sixty-one million, eight hundred sixty-three thousand, forty".