361763040 has 96 divisors (see below), whose sum is σ = 1199560320. Its totient is φ = 91390464.

The previous prime is 361763029. The next prime is 361763047. The reversal of 361763040 is 40367163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×361763040² = 261744994220083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 361762989 and 361763007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361763047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10714 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (12495420).

Almost surely, 2^361763040 is an apocalyptic number.

361763040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361763040 is an abundant number, since it is smaller than the sum of its proper divisors (837797280).

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

361763040 is a wasteful number, since it uses less digits than its factorization.

361763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39704 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 361763040 is about 19020.0694005043. The cubic root of 361763040 is about 712.5380564468.

The spelling of 361763040 in words is "three hundred sixty-one million, seven hundred sixty-three thousand, forty".