363767040 has 432 divisors, whose sum is σ = 1553505408. Its totient is φ = 76529664.

The previous prime is 363767029. The next prime is 363767069. The reversal of 363767040 is 40767363.

It is a super-3 number, since 3×363767040³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 363766986 and 363767004.

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, 1048147 + ... + 1048493.

Almost surely, 2^363767040 is an apocalyptic number.

363767040 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 363767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776752704).

363767040 is an abundant number, since it is smaller than the sum of its proper divisors (1189738368).

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

363767040 is a wasteful number, since it uses less digits than its factorization.

363767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 363767040 is about 19072.6778403034. The cubic root of 363767040 is about 713.8513448965.

The spelling of 363767040 in words is "three hundred sixty-three million, seven hundred sixty-seven thousand, forty".