1345949640 has 288 divisors, whose sum is σ = 5215424760. Its totient is φ = 299980800.

The previous prime is 1345949639. The next prime is 1345949651. The reversal of 1345949640 is 469495431.

1345949640 is a `hidden beast` number, since 13 + 4 + 594 + 9 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253382724 + 1092566916 = 15918^2 + 33054^2 .

It is a super-2 number, since 2×1345949640² = 3623160866832259200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 722310 + ... + 724170.

Almost surely, 2^1345949640 is an apocalyptic number.

1345949640 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 1345949640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607712380).

1345949640 is an abundant number, since it is smaller than the sum of its proper divisors (3869475120).

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

1345949640 is a wasteful number, since it uses less digits than its factorization.

1345949640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1345949640 is about 36687.1863189316. The cubic root of 1345949640 is about 1104.1030346495.

The spelling of 1345949640 in words is "one billion, three hundred forty-five million, nine hundred forty-nine thousand, six hundred forty".