361507020 has 192 divisors, whose sum is σ = 1217965056. Its totient is φ = 78382080.

The previous prime is 361507007. The next prime is 361507021. The reversal of 361507020 is 20705163.

361507020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (361507021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667950 + ... + 668490.

It is an arithmetic number, because the mean of its divisors is an integer number (6343568).

Almost surely, 2^361507020 is an apocalyptic number.

361507020 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 361507020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608982528).

361507020 is an abundant number, since it is smaller than the sum of its proper divisors (856458036).

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

361507020 is a wasteful number, since it uses less digits than its factorization.

361507020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 361507020 is about 19013.3379499761. The cubic root of 361507020 is about 712.3699288570.

The spelling of 361507020 in words is "three hundred sixty-one million, five hundred seven thousand, twenty".