361340784 has 240 divisors, whose sum is σ = 1254800640. Its totient is φ = 97511040.

The previous prime is 361340767. The next prime is 361340807. The reversal of 361340784 is 487043163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091499 + ... + 1091829.

It is an arithmetic number, because the mean of its divisors is an integer number (5228336).

Almost surely, 2^361340784 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 361340784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627400320).

361340784 is an abundant number, since it is smaller than the sum of its proper divisors (893459856).

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

361340784 is a wasteful number, since it uses less digits than its factorization.

361340784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 361340784 is about 19008.9658845504. The cubic root of 361340784 is about 712.2607196510.

The spelling of 361340784 in words is "three hundred sixty-one million, three hundred forty thousand, seven hundred eighty-four".