3540461400 has 336 divisors, whose sum is σ = 14108881200. Its totient is φ = 809015040.

The previous prime is 3540461399. The next prime is 3540461443. The reversal of 3540461400 is 41640453.

3540461400 is a `hidden beast` number, since 3 + 5 + 40 + 4 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1018866 + ... + 1022334.

Almost surely, 2^3540461400 is an apocalyptic number.

3540461400 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 3540461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054440600).

3540461400 is an abundant number, since it is smaller than the sum of its proper divisors (10568419800).

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

3540461400 is a wasteful number, since it uses less digits than its factorization.

3540461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3540461400 is about 59501.7764440693. The cubic root of 3540461400 is about 1524.1227813534.

The spelling of 3540461400 in words is "three billion, five hundred forty million, four hundred sixty-one thousand, four hundred".