1350088740 has 576 divisors, whose sum is σ = 5635768320. Its totient is φ = 252564480.

The previous prime is 1350088717. The next prime is 1350088801. The reversal of 1350088740 is 478800531.

1350088740 is a `hidden beast` number, since 1 + 3 + 500 + 88 + 74 + 0 = 666.

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 = 1350088695 and 1350088704.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10630557 + ... + 10630683.

It is an arithmetic number, because the mean of its divisors is an integer number (9784320).

Almost surely, 2^1350088740 is an apocalyptic number.

1350088740 is a gapful number since it is divisible by the number (10) 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 1350088740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817884160).

1350088740 is an abundant number, since it is smaller than the sum of its proper divisors (4285679580).

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

1350088740 is a wasteful number, since it uses less digits than its factorization.

1350088740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1350088740 is about 36743.5537203466. The cubic root of 1350088740 is about 1105.2336654286.

The spelling of 1350088740 in words is "one billion, three hundred fifty million, eighty-eight thousand, seven hundred forty".