5738591040 has 672 divisors, whose sum is σ = 23418003456. Its totient is φ = 1164533760.

The previous prime is 5738591029. The next prime is 5738591051. The reversal of 5738591040 is 401958375.

It is an interprime number because it is at equal distance from previous prime (5738591029) and next prime (5738591051).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5738590983 and 5738591001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35205999 + ... + 35206161.

Almost surely, 2^5738591040 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 5738591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709001728).

5738591040 is an abundant number, since it is smaller than the sum of its proper divisors (17679412416).

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

5738591040 is a wasteful number, since it uses less digits than its factorization.

5738591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 5738591040 is about 75753.4886325376. The cubic root of 5738591040 is about 1790.3382567688.

It can be divided in two parts, 5738 and 591040, that added together give a triangular number (596778 = T₁₀₉₂).

The spelling of 5738591040 in words is "five billion, seven hundred thirty-eight million, five hundred ninety-one thousand, forty".