40349400 has 192 divisors, whose sum is σ = 154156800. Its totient is φ = 8501760.

The previous prime is 40349389. The next prime is 40349401. The reversal of 40349400 is 494304.

It is a super-3 number, since 3×40349400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40349401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54231 + ... + 54969.

It is an arithmetic number, because the mean of its divisors is an integer number (802900).

Almost surely, 2^40349400 is an apocalyptic number.

40349400 is a gapful number since it is divisible by the number (40) 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 40349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

40349400 is an abundant number, since it is smaller than the sum of its proper divisors (113807400).

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

40349400 is a wasteful number, since it uses less digits than its factorization.

40349400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40349400 is about 6352.1177570949. The cubic root of 40349400 is about 342.9880799491.

The spelling of 40349400 in words is "forty million, three hundred forty-nine thousand, four hundred".