380007546750 has 576 divisors, whose sum is σ = 1186978665600. Its totient is φ = 87145344000.

The previous prime is 380007546749. The next prime is 380007546767. The reversal of 380007546750 is 57645700083.

380007546750 is a `hidden beast` number, since 38 + 0 + 0 + 0 + 7 + 546 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 380007546696 and 380007546705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 634402951 + ... + 634403549.

It is an arithmetic number, because the mean of its divisors is an integer number (2060726850).

Almost surely, 2^380007546750 is an apocalyptic number.

380007546750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380007546750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593489332800).

380007546750 is an abundant number, since it is smaller than the sum of its proper divisors (806971118850).

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

380007546750 is a wasteful number, since it uses less digits than its factorization.

380007546750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 380007546750 in words is "three hundred eighty billion, seven million, five hundred forty-six thousand, seven hundred fifty".