3542719360 has 128 divisors (see below), whose sum is σ = 8636544000. Its totient is φ = 1389428736.

The previous prime is 3542719351. The next prime is 3542719361. The reversal of 3542719360 is 639172453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3542719360³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542719361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9249729 + ... + 9250111.

It is an arithmetic number, because the mean of its divisors is an integer number (67473000).

Almost surely, 2^3542719360 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 3542719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

3542719360 is an abundant number, since it is smaller than the sum of its proper divisors (5093824640).

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

3542719360 is a wasteful number, since it uses less digits than its factorization.

3542719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 3542719360 is about 59520.7473071365. The cubic root of 3542719360 is about 1524.4467200109.

The spelling of 3542719360 in words is "three billion, five hundred forty-two million, seven hundred nineteen thousand, three hundred sixty".