3542999040 has 336 divisors, whose sum is σ = 14046391008. Its totient is φ = 809238528.

The previous prime is 3542999039. The next prime is 3542999041. The reversal of 3542999040 is 409992453.

It is a happy number.

3542999040 is a `hidden beast` number, since 354 + 299 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3542999039) and next prime (3542999041).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542999041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579794 + ... + 2581166.

Almost surely, 2^3542999040 is an apocalyptic number.

3542999040 is a gapful number since it is divisible by the number (30) 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 3542999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023195504).

3542999040 is an abundant number, since it is smaller than the sum of its proper divisors (10503391968).

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

3542999040 is a wasteful number, since it uses less digits than its factorization.

3542999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3542999040 is about 59523.0966936365. The cubic root of 3542999040 is about 1524.4868347736.

It can be divided in two parts, 354 and 2999040, that multiplied together give a triangular number (1061660160 = T₄₆₀₇₉).

The spelling of 3542999040 in words is "three billion, five hundred forty-two million, nine hundred ninety-nine thousand, forty".